Answer to Question #122740 in Calculus for Pinku Kumar

Question

The domain of the function flg where f(x, y) = 2xy and g(x, y) = x² + y²is R.

Answer 1

$f:R\to R \ that \ is\ (x,y)\mapsto 2xy\\ g:R\to R \ that\ is \ (x,y) \mapsto x^2+y^2\\ 1) h=f/g=\frac{f}{g}=\frac{2xy}{x^2+y^2}\\ h:R\setminus (0,0)\to R \setminus( 0,0) \ because \ x^2+y^2 \ is \ not \ equal \, to \,(0,0).\\ The\ domain \ of \ h\ is \ R\setminus(0,0).\\$